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Simplifying -9x + -17 = 40 + -6x Reorder the terms: -17 + -9x = 40 + -6x Solving -17 + -9x = 40 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + -9x + 6x = 40 + -6x + 6x Combine like terms: -9x + 6x = -3x -17 + -3x = 40 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + -3x = 40 + 0 -17 + -3x = 40 Add '17' to each side of the equation. -17 + 17 + -3x = 40 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 40 + 17 -3x = 40 + 17 Combine like terms: 40 + 17 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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